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Finding the Third Proportional to 122,955 and 189,077

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Solution

The third proportional to 122,955 and 189,077 is: 290,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,955 : 189,077 = 189,077 : x
  2. Step 2: Convert to fraction form
    122,955/189,077 = 189,077/x
  3. Step 3: Cross multiply
    122,955x = 189,077 × 189,077
  4. Step 4: Simplify right side
    122,955x = 35,750,111,929
  5. Step 5: Solve for x
    x = 35,750,111,929/122,955
  6. Step 6: Final answer
    x = 290,757.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.